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A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

C-Y. Jean Chan
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Abstract

We construct isomorphisms of the Grothendieck group of a projective space and other groups related to Hilbert polynomials and total Chern classes. This is inspired by a correspondence between Chern and Hilbert polynomials stated in Eisenbud's Commutative Algebra. The equivalence of these two polynomials over the projective spaces is also discussed in this paper.

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BibTeXRIS

C-Y. Jean Chan. 2004-06-28. A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces. https://arxiv.org/abs/math/0406588

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